Karush-Kuhn-Tucker optimality conditions for a class of robust optimization problems with an interval-valued objective function

In this article, we study the nonlinear and nonsmooth interval-valued optimization problems in the face of data uncertainty, which are called interval-valued robust optimization problems (IVROPs). We introduce the concept of nondominated solutions for the IVROP. If the interval-valued objective function and constraint functions are nonsmooth on Banach space , we establish a nonsmooth and robust Karush-Kuhn-Tucker optimality theorem.